Nonhyperbolic ergodic measures

：张金华（北京航空航天大学）
：2024-12-16 16:30
：海韵园实验楼S107

报告人：张金华（北京航空航天大学）

时  间：2024年12月16日16:30

地  点：海韵园实验楼S107

内容摘要:

Hyperbolic dynamics are considered as well understood from the ergodic viewpoint, however such systems are not typical. Shub、Mane、Bonatti、Diaz et al built many robustly transitive non-hyperbolic systems, and these systems exhibit some hyperbolicity called partial hyperbolicity. We would like to characterize these examples from ergodic viewpoint, and thus it is inevitable to discuss non-hyperbolic ergodic measures.

We will talk about the prevalence of non-hyperbolic ergodic measures and how such measures are embedded into the set of ergodic measures. This also allows us to discuss the Lyapunov spectrum. This talk is based on joint works with C.Bonatti, L.Diaz, M.Rams, D. Yang et al.

个人简介：

张金华，北京航空航天大学数学科学学院副教授，2017年博士毕业于北京大学和勃艮第大学，师从文兰教授和Bonatti研究员，主要从事微分动力系统研究。在《Commun. Math. Phys.》、《Trans. Amer. Math. Soc.》、《Comment. Math. Helv.》和《Bull.Lond.Math.Soc.》等期刊发表学术论文10余篇。

 

联系人：吴伟胜